0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.11 % Command : do_CVC4 %s %d 0.11/0.32 % Computer : n029.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 960 0.11/0.32 % WCLimit : 120 0.11/0.32 % DateTime : Thu Jul 2 07:29:30 EDT 2020 0.11/0.32 % CPUTime : 0.16/0.43 %----Proving TH0 0.16/0.44 ------- cvc4-thf casc j10 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 960... 0.16/0.44 --- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20... 0.90/1.10 % SZS status Theorem for theBenchmark 0.90/1.10 % SZS output start Proof for theBenchmark 0.90/1.10 (skolem (forall ((BOUND_VARIABLE_996 |u_(-> a a Bool)|) (BOUND_VARIABLE_1000 |u_(-> a a Bool)|) (Xx a) (Xy a) (BOUND_VARIABLE_905 a) (BOUND_VARIABLE_906 a) (BOUND_VARIABLE_907 a) (BOUND_VARIABLE_1144 |u_(-> a a Bool)|) (BOUND_VARIABLE_931 a) (BOUND_VARIABLE_932 a) (BOUND_VARIABLE_1054 |u_(-> a a Bool)|) (BOUND_VARIABLE_983 |u_(-> a a Bool)|)) (or (and (or (not (forall ((BOUND_VARIABLE_1209 |u_(-> a a Bool)|)) (or (not (forall ((Xx1 a) (Xy1 a)) (or (and (not (ho_2 (ho_1 BOUND_VARIABLE_1000 Xx1) Xy1)) (not (ho_2 (ho_1 BOUND_VARIABLE_996 Xx1) Xy1))) (ho_2 (ho_1 BOUND_VARIABLE_1209 Xx1) Xy1)) )) (not (forall ((Xx1 a) (Xy1 a) (Xz0 a)) (let ((_let_0 (ho_1 BOUND_VARIABLE_1209 Xx1))) (or (not (ho_2 _let_0 Xy1)) (not (ho_2 (ho_1 BOUND_VARIABLE_1209 Xy1) Xz0)) (ho_2 _let_0 Xz0))) )) (ho_2 (ho_1 BOUND_VARIABLE_1209 BOUND_VARIABLE_905) BOUND_VARIABLE_906)) )) (not (forall ((BOUND_VARIABLE_1178 |u_(-> a a Bool)|)) (or (not (forall ((Xx1 a) (Xy1 a)) (or (and (not (ho_2 (ho_1 BOUND_VARIABLE_996 Xx1) Xy1)) (not (ho_2 (ho_1 BOUND_VARIABLE_1000 Xx1) Xy1))) (ho_2 (ho_1 BOUND_VARIABLE_1178 Xx1) Xy1)) )) (not (forall ((Xx1 a) (Xy1 a) (Xz0 a)) (let ((_let_0 (ho_1 BOUND_VARIABLE_1178 Xx1))) (or (not (ho_2 (ho_1 BOUND_VARIABLE_1178 Xy1) Xz0)) (not (ho_2 _let_0 Xy1)) (ho_2 _let_0 Xz0))) )) (ho_2 (ho_1 BOUND_VARIABLE_1178 BOUND_VARIABLE_906) BOUND_VARIABLE_907)) )) (not (forall ((Xx1 a) (Xy1 a)) (or (and (not (ho_2 (ho_1 BOUND_VARIABLE_1000 Xx1) Xy1)) (not (ho_2 (ho_1 BOUND_VARIABLE_996 Xx1) Xy1))) (ho_2 (ho_1 BOUND_VARIABLE_1144 Xx1) Xy1)) )) (not (forall ((Xx1 a) (Xy1 a) (Xz0 a)) (let ((_let_0 (ho_1 BOUND_VARIABLE_1144 Xx1))) (or (not (ho_2 _let_0 Xy1)) (not (ho_2 (ho_1 BOUND_VARIABLE_1144 Xy1) Xz0)) (ho_2 _let_0 Xz0))) )) (ho_2 (ho_1 BOUND_VARIABLE_1144 BOUND_VARIABLE_905) BOUND_VARIABLE_907)) (or (and (not (forall ((BOUND_VARIABLE_1115 |u_(-> a a Bool)|)) (or (not (forall ((Xx1 a) (Xy1 a)) (or (not (ho_2 (ho_1 BOUND_VARIABLE_1000 Xx1) Xy1)) (ho_2 (ho_1 BOUND_VARIABLE_1115 Xx1) Xy1)) )) (not (forall ((Xx1 a) (Xy1 a) (Xz a)) (let ((_let_0 (ho_1 BOUND_VARIABLE_1115 Xx1))) (or (not (ho_2 _let_0 Xy1)) (not (ho_2 (ho_1 BOUND_VARIABLE_1115 Xy1) Xz)) (ho_2 _let_0 Xz))) )) (ho_2 (ho_1 BOUND_VARIABLE_1115 BOUND_VARIABLE_931) BOUND_VARIABLE_932)) )) (not (forall ((BOUND_VARIABLE_1088 |u_(-> a a Bool)|)) (or (not (forall ((Xx1 a) (Xy1 a)) (or (not (ho_2 (ho_1 BOUND_VARIABLE_996 Xx1) Xy1)) (ho_2 (ho_1 BOUND_VARIABLE_1088 Xx1) Xy1)) )) (not (forall ((Xx1 a) (Xy1 a) (Xz a)) (let ((_let_0 (ho_1 BOUND_VARIABLE_1088 Xx1))) (or (not (ho_2 _let_0 Xy1)) (not (ho_2 (ho_1 BOUND_VARIABLE_1088 Xy1) Xz)) (ho_2 _let_0 Xz))) )) (ho_2 (ho_1 BOUND_VARIABLE_1088 BOUND_VARIABLE_931) BOUND_VARIABLE_932)) ))) (not (forall ((Xx1 a) (Xy1 a) (Xz a)) (let ((_let_0 (ho_1 BOUND_VARIABLE_1054 Xx1))) (or (not (ho_2 _let_0 Xy1)) (not (ho_2 (ho_1 BOUND_VARIABLE_1054 Xy1) Xz)) (ho_2 _let_0 Xz))) )) (not (forall ((Xx1 a) (Xy1 a)) (or (and (not (ho_2 (ho_1 BOUND_VARIABLE_996 Xx1) Xy1)) (not (ho_2 (ho_1 BOUND_VARIABLE_1000 Xx1) Xy1))) (ho_2 (ho_1 BOUND_VARIABLE_1054 Xx1) Xy1)) )) (ho_2 (ho_1 BOUND_VARIABLE_1054 BOUND_VARIABLE_931) BOUND_VARIABLE_932)) (not (forall ((BOUND_VARIABLE_1023 |u_(-> a a Bool)|)) (or (not (forall ((Xx0 a) (Xy0 a)) (or (and (not (ho_2 (ho_1 BOUND_VARIABLE_1000 Xx0) Xy0)) (not (ho_2 (ho_1 BOUND_VARIABLE_996 Xx0) Xy0))) (ho_2 (ho_1 BOUND_VARIABLE_1023 Xx0) Xy0)) )) (not (forall ((Xx0 a) (Xy0 a) (Xz a)) (let ((_let_0 (ho_1 BOUND_VARIABLE_1023 Xx0))) (or (not (ho_2 _let_0 Xy0)) (not (ho_2 (ho_1 BOUND_VARIABLE_1023 Xy0) Xz)) (ho_2 _let_0 Xz))) )) (ho_2 (ho_1 BOUND_VARIABLE_1023 Xx) Xy)) ))) (not (forall ((Xx0 a) (Xy0 a) (Xz a)) (let ((_let_0 (ho_1 BOUND_VARIABLE_983 Xx0))) (or (not (ho_2 (ho_1 BOUND_VARIABLE_983 Xy0) Xz)) (not (ho_2 _let_0 Xy0)) (ho_2 _let_0 Xz))) )) (not (forall ((Xx0 a) (Xy0 a)) (or (and (not (ho_2 (ho_1 BOUND_VARIABLE_1000 Xx0) Xy0)) (not (ho_2 (ho_1 BOUND_VARIABLE_996 Xx0) Xy0))) (ho_2 (ho_1 BOUND_VARIABLE_983 Xx0) Xy0)) )) (ho_2 (ho_1 BOUND_VARIABLE_983 Xx) Xy)) ) 0.90/1.10 ( skv_3 skv_4 skv_5 skv_6 skv_7 skv_8 skv_9 skv_10 skv_11 skv_12 skv_13 skv_14 ) 0.90/1.10 ) 0.90/1.10 (skolem (forall ((Xx1 a) (Xy1 a)) (let ((_let_0 (ho_1 skv_3 Xx1))) (let ((_let_1 (ho_2 _let_0 Xy1))) (or (and (not (ho_2 (ho_1 skv_4 Xx1) Xy1)) (not _let_1)) _let_1))) ) 0.90/1.10 ( skv_15 skv_16 ) 0.90/1.10 ) 0.90/1.10 (skolem (forall ((Xx1 a) (Xy1 a)) (let ((_let_0 (ho_1 skv_4 Xx1))) (let ((_let_1 (ho_2 _let_0 Xy1))) (or (and (not _let_1) (not (ho_2 (ho_1 skv_3 Xx1) Xy1))) _let_1))) ) 0.90/1.10 ( skv_17 skv_18 ) 0.90/1.10 ) 0.90/1.10 (skolem (forall ((Xx1 a) (Xy1 a) (Xz0 a)) (let ((_let_0 (ho_1 skv_14 Xx1))) (or (not (ho_2 _let_0 Xy1)) (not (ho_2 (ho_1 skv_14 Xy1) Xz0)) (ho_2 _let_0 Xz0))) ) 0.90/1.10 ( skv_19 skv_20 skv_21 ) 0.90/1.10 ) 0.90/1.10 (skolem (forall ((Xx1 a) (Xy1 a) (Xz0 a)) (let ((_let_0 (ho_1 skv_10 Xx1))) (or (not (ho_2 (ho_1 skv_10 Xy1) Xz0)) (not (ho_2 _let_0 Xy1)) (ho_2 _let_0 Xz0))) ) 0.90/1.10 ( skv_22 skv_23 skv_24 ) 0.90/1.10 ) 0.90/1.10 (skolem (forall ((Xx1 a) (Xy1 a)) (or (not (ho_2 (ho_1 skv_4 Xx1) Xy1)) (ho_2 (ho_1 skv_13 Xx1) Xy1)) ) 0.90/1.10 ( skv_25 skv_26 ) 0.90/1.10 ) 0.90/1.10 (skolem (forall ((BOUND_VARIABLE_1023 |u_(-> a a Bool)|)) (or (not (forall ((Xx0 a) (Xy0 a)) (or (and (not (ho_2 (ho_1 skv_4 Xx0) Xy0)) (not (ho_2 (ho_1 skv_3 Xx0) Xy0))) (ho_2 (ho_1 BOUND_VARIABLE_1023 Xx0) Xy0)) )) (not (forall ((Xx0 a) (Xy0 a) (Xz a)) (let ((_let_0 (ho_1 BOUND_VARIABLE_1023 Xx0))) (or (not (ho_2 _let_0 Xy0)) (not (ho_2 (ho_1 BOUND_VARIABLE_1023 Xy0) Xz)) (ho_2 _let_0 Xz))) )) (ho_2 (ho_1 BOUND_VARIABLE_1023 skv_5) skv_6)) ) 0.90/1.10 ( skv_27 ) 0.90/1.10 ) 0.90/1.10 (skolem (forall ((BOUND_VARIABLE_1115 |u_(-> a a Bool)|)) (or (not (forall ((Xx1 a) (Xy1 a)) (or (not (ho_2 (ho_1 skv_4 Xx1) Xy1)) (ho_2 (ho_1 BOUND_VARIABLE_1115 Xx1) Xy1)) )) (not (forall ((Xx1 a) (Xy1 a) (Xz a)) (let ((_let_0 (ho_1 BOUND_VARIABLE_1115 Xx1))) (or (not (ho_2 _let_0 Xy1)) (not (ho_2 (ho_1 BOUND_VARIABLE_1115 Xy1) Xz)) (ho_2 _let_0 Xz))) )) (ho_2 (ho_1 BOUND_VARIABLE_1115 skv_11) skv_12)) ) 0.90/1.10 ( skv_28 ) 0.90/1.10 ) 0.90/1.10 (skolem (forall ((Xx1 a) (Xy1 a) (Xz0 a)) (let ((_let_0 (ho_1 skv_3 Xx1))) (or (not (ho_2 _let_0 Xy1)) (not (ho_2 (ho_1 skv_3 Xy1) Xz0)) (ho_2 _let_0 Xz0))) ) 0.90/1.10 ( skv_29 skv_30 skv_31 ) 0.90/1.10 ) 0.90/1.10 (skolem (forall ((Xx1 a) (Xy1 a) (Xz0 a)) (let ((_let_0 (ho_1 skv_4 Xx1))) (or (not (ho_2 _let_0 Xy1)) (not (ho_2 (ho_1 skv_4 Xy1) Xz0)) (ho_2 _let_0 Xz0))) ) 0.90/1.10 ( skv_32 skv_33 skv_34 ) 0.90/1.10 ) 0.90/1.10 (skolem (forall ((Xx1 a) (Xy1 a)) (or (not (ho_2 (ho_1 skv_3 Xx1) Xy1)) (ho_2 (ho_1 skv_13 Xx1) Xy1)) ) 0.90/1.10 ( skv_35 skv_36 ) 0.90/1.10 ) 0.90/1.10 (skolem (forall ((Xx1 a) (Xy1 a)) (or (not (ho_2 (ho_1 skv_3 Xx1) Xy1)) (ho_2 (ho_1 skv_28 Xx1) Xy1)) ) 0.90/1.10 ( skv_37 skv_38 ) 0.90/1.10 ) 0.90/1.10 (skolem (forall ((Xx1 a) (Xy1 a)) (or (not (ho_2 (ho_1 skv_3 Xx1) Xy1)) (ho_2 (ho_1 skv_4 Xx1) Xy1)) ) 0.90/1.10 ( skv_39 skv_40 ) 0.90/1.10 ) 0.90/1.10 (instantiation (forall ((BOUND_VARIABLE_1209 |u_(-> a a Bool)|)) (or (not (forall ((Xx1 a) (Xy1 a)) (or (and (not (ho_2 (ho_1 skv_4 Xx1) Xy1)) (not (ho_2 (ho_1 skv_3 Xx1) Xy1))) (ho_2 (ho_1 BOUND_VARIABLE_1209 Xx1) Xy1)) )) (not (forall ((Xx1 a) (Xy1 a) (Xz0 a)) (let ((_let_0 (ho_1 BOUND_VARIABLE_1209 Xx1))) (or (not (ho_2 _let_0 Xy1)) (not (ho_2 (ho_1 BOUND_VARIABLE_1209 Xy1) Xz0)) (ho_2 _let_0 Xz0))) )) (ho_2 (ho_1 BOUND_VARIABLE_1209 skv_7) skv_8)) ) 0.90/1.10 ( skv_3 ) 0.90/1.10 ( skv_4 ) 0.90/1.10 ( skv_10 ) 0.90/1.10 ( skv_14 ) 0.90/1.10 ) 0.90/1.10 (instantiation (forall ((BOUND_VARIABLE_1178 |u_(-> a a Bool)|)) (or (not (forall ((Xx1 a) (Xy1 a)) (or (and (not (ho_2 (ho_1 skv_3 Xx1) Xy1)) (not (ho_2 (ho_1 skv_4 Xx1) Xy1))) (ho_2 (ho_1 BOUND_VARIABLE_1178 Xx1) Xy1)) )) (not (forall ((Xx1 a) (Xy1 a) (Xz0 a)) (let ((_let_0 (ho_1 BOUND_VARIABLE_1178 Xx1))) (or (not (ho_2 (ho_1 BOUND_VARIABLE_1178 Xy1) Xz0)) (not (ho_2 _let_0 Xy1)) (ho_2 _let_0 Xz0))) )) (ho_2 (ho_1 BOUND_VARIABLE_1178 skv_8) skv_9)) ) 0.90/1.10 ( skv_3 ) 0.90/1.10 ( skv_4 ) 0.90/1.10 ( skv_10 ) 0.90/1.10 ( skv_14 ) 0.90/1.10 ) 0.90/1.10 (instantiation (forall ((Xx1 a) (Xy1 a)) (or (and (not (ho_2 (ho_1 skv_4 Xx1) Xy1)) (not (ho_2 (ho_1 skv_3 Xx1) Xy1))) (ho_2 (ho_1 skv_10 Xx1) Xy1)) ) 0.90/1.10 ( skv_7, skv_9 ) 0.90/1.10 ( skv_7, skv_15 ) 0.90/1.10 ( skv_7, skv_17 ) 0.90/1.10 ( skv_7, skv_23 ) 0.90/1.10 ( skv_7, skv_24 ) 0.90/1.10 ( skv_8, skv_9 ) 0.90/1.10 ( skv_8, skv_16 ) 0.90/1.10 ( skv_15, skv_7 ) 0.90/1.10 ( skv_15, skv_9 ) 0.90/1.10 ( skv_15, skv_15 ) 0.90/1.10 ( skv_15, skv_16 ) 0.90/1.10 ( skv_15, skv_17 ) 0.90/1.10 ( skv_15, skv_23 ) 0.90/1.10 ( skv_17, skv_7 ) 0.90/1.10 ( skv_17, skv_8 ) 0.90/1.10 ( skv_17, skv_9 ) 0.90/1.10 ( skv_17, skv_15 ) 0.90/1.10 ( skv_17, skv_17 ) 0.90/1.10 ( skv_17, skv_18 ) 0.90/1.10 ( skv_17, skv_22 ) 0.90/1.10 ( skv_17, skv_24 ) 0.90/1.10 ( skv_22, skv_7 ) 0.90/1.10 ( skv_22, skv_9 ) 0.90/1.10 ( skv_22, skv_15 ) 0.90/1.10 ( skv_22, skv_16 ) 0.90/1.10 ( skv_22, skv_23 ) 0.90/1.10 ( skv_22, skv_24 ) 0.90/1.10 ( skv_23, skv_7 ) 0.90/1.10 ( skv_23, skv_9 ) 0.90/1.10 ( skv_23, skv_17 ) 0.90/1.10 ( skv_23, skv_18 ) 0.90/1.10 ( skv_23, skv_24 ) 0.90/1.10 ( skv_29, skv_30 ) 0.90/1.10 ( skv_29, skv_31 ) 0.90/1.10 ( skv_30, skv_31 ) 0.90/1.10 ( skv_32, skv_33 ) 0.90/1.10 ( skv_32, skv_34 ) 0.90/1.10 ( skv_33, skv_34 ) 0.90/1.10 ) 0.90/1.10 (instantiation (forall ((Xx1 a) (Xy1 a) (Xz0 a)) (let ((_let_0 (ho_1 skv_10 Xx1))) (or (not (ho_2 _let_0 Xy1)) (not (ho_2 (ho_1 skv_10 Xy1) Xz0)) (ho_2 _let_0 Xz0))) ) 0.90/1.10 ( skv_7, skv_7, skv_24 ) 0.90/1.10 ( skv_7, skv_8, skv_9 ) 0.90/1.10 ( skv_7, skv_15, skv_9 ) 0.90/1.10 ( skv_7, skv_17, skv_9 ) 0.90/1.10 ( skv_7, skv_22, skv_16 ) 0.90/1.10 ( skv_7, skv_23, skv_24 ) 0.90/1.10 ( skv_8, skv_7, skv_8 ) 0.90/1.10 ( skv_8, skv_15, skv_16 ) 0.90/1.10 ( skv_8, skv_17, skv_18 ) 0.90/1.10 ( skv_15, skv_7, skv_8 ) 0.90/1.10 ( skv_15, skv_8, skv_9 ) 0.90/1.10 ( skv_15, skv_15, skv_9 ) 0.90/1.10 ( skv_15, skv_17, skv_9 ) 0.90/1.10 ( skv_15, skv_22, skv_9 ) 0.90/1.10 ( skv_15, skv_23, skv_9 ) 0.90/1.10 ( skv_17, skv_7, skv_8 ) 0.90/1.10 ( skv_17, skv_8, skv_9 ) 0.90/1.10 ( skv_17, skv_15, skv_9 ) 0.90/1.10 ( skv_17, skv_17, skv_9 ) 0.90/1.10 ( skv_17, skv_22, skv_24 ) 0.90/1.10 ( skv_22, skv_7, skv_9 ) 0.90/1.10 ( skv_22, skv_15, skv_16 ) 0.90/1.10 ( skv_22, skv_17, skv_9 ) 0.90/1.10 ( skv_22, skv_23, skv_24 ) 0.90/1.10 ( skv_23, skv_7, skv_9 ) 0.90/1.10 ( skv_23, skv_15, skv_16 ) 0.90/1.10 ( skv_23, skv_17, skv_18 ) 0.90/1.10 ) 0.90/1.10 (instantiation (forall ((BOUND_VARIABLE_1115 |u_(-> a a Bool)|)) (or (not (forall ((Xx1 a) (Xy1 a)) (or (not (ho_2 (ho_1 skv_4 Xx1) Xy1)) (ho_2 (ho_1 BOUND_VARIABLE_1115 Xx1) Xy1)) )) (not (forall ((Xx1 a) (Xy1 a) (Xz a)) (let ((_let_0 (ho_1 BOUND_VARIABLE_1115 Xx1))) (or (not (ho_2 _let_0 Xy1)) (not (ho_2 (ho_1 BOUND_VARIABLE_1115 Xy1) Xz)) (ho_2 _let_0 Xz))) )) (ho_2 (ho_1 BOUND_VARIABLE_1115 skv_11) skv_12)) ) 0.90/1.10 ( skv_3 ) 0.90/1.10 ( skv_4 ) 0.90/1.10 ( skv_13 ) 0.90/1.10 ) 0.90/1.10 (instantiation (forall ((BOUND_VARIABLE_1088 |u_(-> a a Bool)|)) (or (not (forall ((Xx1 a) (Xy1 a)) (or (not (ho_2 (ho_1 skv_3 Xx1) Xy1)) (ho_2 (ho_1 BOUND_VARIABLE_1088 Xx1) Xy1)) )) (not (forall ((Xx1 a) (Xy1 a) (Xz a)) (let ((_let_0 (ho_1 BOUND_VARIABLE_1088 Xx1))) (or (not (ho_2 _let_0 Xy1)) (not (ho_2 (ho_1 BOUND_VARIABLE_1088 Xy1) Xz)) (ho_2 _let_0 Xz))) )) (ho_2 (ho_1 BOUND_VARIABLE_1088 skv_11) skv_12)) ) 0.90/1.10 ( skv_3 ) 0.90/1.10 ( skv_4 ) 0.90/1.10 ( skv_13 ) 0.90/1.10 ( skv_28 ) 0.90/1.10 ) 0.90/1.10 (instantiation (forall ((Xx1 a) (Xy1 a)) (or (and (not (ho_2 (ho_1 skv_3 Xx1) Xy1)) (not (ho_2 (ho_1 skv_4 Xx1) Xy1))) (ho_2 (ho_1 skv_13 Xx1) Xy1)) ) 0.90/1.10 ( skv_11, skv_12 ) 0.90/1.10 ( skv_15, skv_16 ) 0.90/1.10 ( skv_17, skv_18 ) 0.90/1.10 ( skv_25, skv_26 ) 0.90/1.10 ( skv_29, skv_30 ) 0.90/1.10 ( skv_29, skv_31 ) 0.90/1.10 ( skv_30, skv_31 ) 0.90/1.10 ( skv_32, skv_33 ) 0.90/1.10 ( skv_32, skv_34 ) 0.90/1.10 ( skv_33, skv_34 ) 0.90/1.10 ( skv_35, skv_36 ) 0.90/1.10 ) 0.90/1.10 (instantiation (forall ((BOUND_VARIABLE_1023 |u_(-> a a Bool)|)) (or (not (forall ((Xx0 a) (Xy0 a)) (or (and (not (ho_2 (ho_1 skv_4 Xx0) Xy0)) (not (ho_2 (ho_1 skv_3 Xx0) Xy0))) (ho_2 (ho_1 BOUND_VARIABLE_1023 Xx0) Xy0)) )) (not (forall ((Xx0 a) (Xy0 a) (Xz a)) (let ((_let_0 (ho_1 BOUND_VARIABLE_1023 Xx0))) (or (not (ho_2 _let_0 Xy0)) (not (ho_2 (ho_1 BOUND_VARIABLE_1023 Xy0) Xz)) (ho_2 _let_0 Xz))) )) (ho_2 (ho_1 BOUND_VARIABLE_1023 skv_5) skv_6)) ) 0.90/1.10 ( skv_3 ) 0.90/1.10 ( skv_4 ) 0.90/1.10 ( skv_14 ) 0.90/1.10 ) 0.90/1.10 (instantiation (forall ((Xx0 a) (Xy0 a) (Xz a)) (let ((_let_0 (ho_1 skv_14 Xx0))) (or (not (ho_2 (ho_1 skv_14 Xy0) Xz)) (not (ho_2 _let_0 Xy0)) (ho_2 _let_0 Xz))) ) 0.90/1.10 ( skv_5, skv_7, skv_6 ) 0.90/1.10 ( skv_5, skv_7, skv_8 ) 0.90/1.10 ( skv_5, skv_15, skv_6 ) 0.90/1.10 ( skv_5, skv_15, skv_8 ) 0.90/1.10 ( skv_5, skv_17, skv_18 ) 0.90/1.10 ( skv_5, skv_19, skv_6 ) 0.90/1.10 ( skv_5, skv_19, skv_7 ) 0.90/1.10 ( skv_5, skv_21, skv_6 ) 0.90/1.10 ( skv_6, skv_6, skv_6 ) 0.90/1.10 ( skv_7, skv_5, skv_5 ) 0.90/1.10 ( skv_7, skv_5, skv_8 ) 0.90/1.10 ( skv_7, skv_8, skv_9 ) 0.90/1.10 ( skv_7, skv_8, skv_16 ) 0.90/1.10 ( skv_7, skv_8, skv_19 ) 0.90/1.10 ( skv_7, skv_9, skv_17 ) 0.90/1.10 ( skv_7, skv_9, skv_18 ) 0.90/1.10 ( skv_7, skv_9, skv_19 ) 0.90/1.10 ( skv_7, skv_15, skv_16 ) 0.90/1.10 ( skv_7, skv_16, skv_20 ) 0.90/1.10 ( skv_7, skv_17, skv_5 ) 0.90/1.10 ( skv_7, skv_17, skv_6 ) 0.90/1.10 ( skv_7, skv_19, skv_5 ) 0.90/1.10 ( skv_7, skv_20, skv_6 ) 0.90/1.10 ( skv_8, skv_7, skv_8 ) 0.90/1.10 ( skv_8, skv_8, skv_8 ) 0.90/1.10 ( skv_8, skv_9, skv_15 ) 0.90/1.10 ( skv_8, skv_9, skv_17 ) 0.90/1.10 ( skv_8, skv_9, skv_19 ) 0.90/1.10 ( skv_8, skv_20, skv_15 ) 0.90/1.10 ( skv_9, skv_7, skv_8 ) 0.90/1.10 ( skv_9, skv_20, skv_5 ) 0.90/1.10 ( skv_15, skv_5, skv_21 ) 0.90/1.10 ( skv_15, skv_7, skv_8 ) 0.90/1.10 ( skv_15, skv_16, skv_18 ) 0.90/1.10 ( skv_15, skv_17, skv_18 ) 0.90/1.10 ( skv_15, skv_17, skv_20 ) 0.90/1.10 ( skv_15, skv_20, skv_8 ) 0.90/1.10 ( skv_16, skv_7, skv_16 ) 0.90/1.10 ( skv_16, skv_15, skv_16 ) 0.90/1.10 ( skv_16, skv_15, skv_21 ) 0.90/1.10 ( skv_17, skv_7, skv_8 ) 0.90/1.10 ( skv_17, skv_15, skv_16 ) 0.90/1.10 ( skv_17, skv_17, skv_16 ) 0.90/1.10 ( skv_17, skv_17, skv_17 ) 0.90/1.10 ( skv_17, skv_18, skv_16 ) 0.90/1.10 ( skv_18, skv_15, skv_18 ) 0.90/1.10 ( skv_18, skv_17, skv_8 ) 0.90/1.10 ( skv_18, skv_18, skv_21 ) 0.90/1.10 ( skv_18, skv_21, skv_5 ) 0.90/1.10 ( skv_19, skv_5, skv_20 ) 0.90/1.10 ( skv_19, skv_8, skv_9 ) 0.90/1.10 ( skv_19, skv_15, skv_16 ) 0.90/1.10 ( skv_19, skv_18, skv_17 ) 0.90/1.10 ( skv_19, skv_18, skv_21 ) 0.90/1.10 ( skv_19, skv_19, skv_19 ) 0.90/1.10 ( skv_19, skv_19, skv_20 ) 0.90/1.10 ( skv_19, skv_20, skv_7 ) 0.90/1.10 ( skv_19, skv_20, skv_20 ) 0.90/1.10 ( skv_19, skv_20, skv_21 ) 0.90/1.10 ( skv_20, skv_7, skv_20 ) 0.90/1.10 ( skv_20, skv_7, skv_21 ) 0.90/1.10 ( skv_20, skv_15, skv_20 ) 0.90/1.10 ( skv_20, skv_16, skv_5 ) 0.90/1.10 ( skv_20, skv_17, skv_18 ) 0.90/1.10 ( skv_20, skv_18, skv_21 ) 0.90/1.10 ( skv_20, skv_19, skv_21 ) 0.90/1.10 ( skv_21, skv_8, skv_9 ) 0.90/1.10 ( skv_21, skv_9, skv_9 ) 0.90/1.10 ) 0.90/1.10 (instantiation (forall ((Xx0 a) (Xy0 a)) (or (and (not (ho_2 (ho_1 skv_4 Xx0) Xy0)) (not (ho_2 (ho_1 skv_3 Xx0) Xy0))) (ho_2 (ho_1 skv_14 Xx0) Xy0)) ) 0.90/1.10 ( skv_5, skv_5 ) 0.90/1.10 ( skv_5, skv_6 ) 0.90/1.10 ( skv_5, skv_7 ) 0.90/1.10 ( skv_5, skv_8 ) 0.90/1.10 ( skv_5, skv_15 ) 0.90/1.10 ( skv_5, skv_16 ) 0.90/1.10 ( skv_5, skv_17 ) 0.90/1.10 ( skv_5, skv_18 ) 0.90/1.10 ( skv_5, skv_19 ) 0.90/1.10 ( skv_5, skv_20 ) 0.90/1.10 ( skv_5, skv_21 ) 0.90/1.10 ( skv_6, skv_6 ) 0.90/1.10 ( skv_7, skv_5 ) 0.90/1.10 ( skv_7, skv_6 ) 0.90/1.10 ( skv_7, skv_7 ) 0.90/1.10 ( skv_7, skv_8 ) 0.90/1.10 ( skv_7, skv_16 ) 0.90/1.10 ( skv_7, skv_17 ) 0.90/1.10 ( skv_7, skv_18 ) 0.90/1.10 ( skv_7, skv_19 ) 0.90/1.10 ( skv_7, skv_20 ) 0.90/1.10 ( skv_7, skv_21 ) 0.90/1.10 ( skv_8, skv_5 ) 0.90/1.10 ( skv_8, skv_6 ) 0.90/1.10 ( skv_8, skv_7 ) 0.90/1.10 ( skv_8, skv_8 ) 0.90/1.10 ( skv_8, skv_15 ) 0.90/1.10 ( skv_8, skv_16 ) 0.90/1.10 ( skv_8, skv_17 ) 0.90/1.10 ( skv_8, skv_18 ) 0.90/1.10 ( skv_8, skv_19 ) 0.90/1.10 ( skv_8, skv_20 ) 0.90/1.10 ( skv_8, skv_21 ) 0.90/1.10 ( skv_9, skv_5 ) 0.90/1.10 ( skv_9, skv_6 ) 0.90/1.10 ( skv_9, skv_7 ) 0.90/1.10 ( skv_9, skv_8 ) 0.90/1.10 ( skv_9, skv_9 ) 0.90/1.10 ( skv_9, skv_15 ) 0.90/1.10 ( skv_9, skv_17 ) 0.90/1.10 ( skv_9, skv_18 ) 0.90/1.10 ( skv_9, skv_20 ) 0.90/1.10 ( skv_9, skv_21 ) 0.90/1.10 ( skv_15, skv_5 ) 0.90/1.10 ( skv_15, skv_6 ) 0.90/1.10 ( skv_15, skv_7 ) 0.90/1.10 ( skv_15, skv_8 ) 0.90/1.10 ( skv_15, skv_16 ) 0.90/1.10 ( skv_15, skv_18 ) 0.90/1.10 ( skv_15, skv_19 ) 0.90/1.10 ( skv_15, skv_20 ) 0.90/1.10 ( skv_15, skv_21 ) 0.90/1.10 ( skv_16, skv_5 ) 0.90/1.10 ( skv_16, skv_6 ) 0.90/1.10 ( skv_16, skv_7 ) 0.90/1.10 ( skv_16, skv_8 ) 0.90/1.10 ( skv_16, skv_15 ) 0.90/1.10 ( skv_16, skv_16 ) 0.90/1.10 ( skv_16, skv_17 ) 0.90/1.10 ( skv_16, skv_18 ) 0.90/1.10 ( skv_16, skv_19 ) 0.90/1.10 ( skv_16, skv_20 ) 0.90/1.10 ( skv_16, skv_21 ) 0.90/1.10 ( skv_17, skv_5 ) 0.90/1.10 ( skv_17, skv_6 ) 0.90/1.10 ( skv_17, skv_16 ) 0.90/1.10 ( skv_17, skv_18 ) 0.90/1.10 ( skv_17, skv_20 ) 0.90/1.10 ( skv_18, skv_5 ) 0.90/1.10 ( skv_18, skv_6 ) 0.90/1.10 ( skv_18, skv_7 ) 0.90/1.10 ( skv_18, skv_8 ) 0.90/1.10 ( skv_18, skv_15 ) 0.90/1.10 ( skv_18, skv_16 ) 0.90/1.10 ( skv_18, skv_17 ) 0.90/1.10 ( skv_18, skv_18 ) 0.90/1.10 ( skv_18, skv_20 ) 0.90/1.10 ( skv_18, skv_21 ) 0.90/1.10 ( skv_19, skv_5 ) 0.90/1.10 ( skv_19, skv_6 ) 0.90/1.10 ( skv_19, skv_7 ) 0.90/1.10 ( skv_19, skv_8 ) 0.90/1.10 ( skv_19, skv_9 ) 0.90/1.10 ( skv_19, skv_15 ) 0.90/1.10 ( skv_19, skv_16 ) 0.90/1.10 ( skv_19, skv_17 ) 0.90/1.10 ( skv_19, skv_18 ) 0.90/1.10 ( skv_19, skv_19 ) 0.90/1.10 ( skv_19, skv_20 ) 0.90/1.10 ( skv_19, skv_21 ) 0.90/1.10 ( skv_20, skv_5 ) 0.90/1.10 ( skv_20, skv_6 ) 0.90/1.10 ( skv_20, skv_7 ) 0.90/1.10 ( skv_20, skv_8 ) 0.90/1.10 ( skv_20, skv_15 ) 0.90/1.10 ( skv_20, skv_16 ) 0.90/1.10 ( skv_20, skv_17 ) 0.90/1.10 ( skv_20, skv_18 ) 0.90/1.10 ( skv_20, skv_19 ) 0.90/1.10 ( skv_20, skv_20 ) 0.90/1.10 ( skv_20, skv_21 ) 0.90/1.10 ( skv_21, skv_5 ) 0.90/1.10 ( skv_21, skv_6 ) 0.90/1.10 ( skv_21, skv_8 ) 0.90/1.10 ( skv_21, skv_9 ) 0.90/1.10 ( skv_29, skv_30 ) 0.90/1.10 ( skv_29, skv_31 ) 0.90/1.10 ( skv_30, skv_31 ) 0.90/1.10 ( skv_32, skv_33 ) 0.90/1.10 ( skv_32, skv_34 ) 0.90/1.10 ( skv_33, skv_34 ) 0.90/1.10 ) 0.90/1.10 (instantiation (forall ((Xx1 a) (Xy1 a) (Xz0 a)) (let ((_let_0 (ho_1 skv_14 Xx1))) (or (not (ho_2 _let_0 Xy1)) (not (ho_2 (ho_1 skv_14 Xy1) Xz0)) (ho_2 _let_0 Xz0))) ) 0.90/1.10 ( skv_5, skv_7, skv_8 ) 0.90/1.10 ( skv_5, skv_15, skv_16 ) 0.90/1.10 ( skv_5, skv_16, skv_6 ) 0.90/1.10 ( skv_5, skv_18, skv_8 ) 0.90/1.10 ( skv_5, skv_19, skv_20 ) 0.90/1.10 ( skv_5, skv_21, skv_6 ) 0.90/1.10 ( skv_6, skv_6, skv_6 ) 0.90/1.10 ( skv_7, skv_5, skv_7 ) 0.90/1.10 ( skv_7, skv_7, skv_17 ) 0.90/1.10 ( skv_7, skv_8, skv_5 ) 0.90/1.10 ( skv_7, skv_8, skv_6 ) 0.90/1.10 ( skv_7, skv_8, skv_7 ) 0.90/1.10 ( skv_7, skv_8, skv_15 ) 0.90/1.10 ( skv_7, skv_8, skv_17 ) 0.90/1.10 ( skv_7, skv_8, skv_18 ) 0.90/1.10 ( skv_7, skv_8, skv_19 ) 0.90/1.10 ( skv_7, skv_8, skv_20 ) 0.90/1.10 ( skv_7, skv_8, skv_21 ) 0.90/1.10 ( skv_7, skv_9, skv_6 ) 0.90/1.10 ( skv_7, skv_9, skv_17 ) 0.90/1.10 ( skv_7, skv_9, skv_20 ) 0.90/1.10 ( skv_7, skv_16, skv_5 ) 0.90/1.10 ( skv_7, skv_17, skv_18 ) 0.90/1.10 ( skv_7, skv_18, skv_6 ) 0.90/1.10 ( skv_7, skv_19, skv_17 ) 0.90/1.10 ( skv_8, skv_8, skv_8 ) 0.90/1.10 ( skv_8, skv_9, skv_5 ) 0.90/1.10 ( skv_8, skv_9, skv_6 ) 0.90/1.10 ( skv_8, skv_9, skv_8 ) 0.90/1.10 ( skv_8, skv_9, skv_17 ) 0.90/1.10 ( skv_8, skv_9, skv_20 ) 0.90/1.10 ( skv_8, skv_9, skv_21 ) 0.90/1.10 ( skv_15, skv_16, skv_6 ) 0.90/1.10 ( skv_15, skv_16, skv_7 ) 0.90/1.10 ( skv_15, skv_16, skv_8 ) 0.90/1.10 ( skv_15, skv_16, skv_17 ) 0.90/1.10 ( skv_15, skv_16, skv_18 ) 0.90/1.10 ( skv_15, skv_16, skv_19 ) 0.90/1.10 ( skv_15, skv_16, skv_21 ) 0.90/1.10 ( skv_15, skv_17, skv_8 ) 0.90/1.10 ( skv_15, skv_18, skv_21 ) 0.90/1.10 ( skv_15, skv_21, skv_6 ) 0.90/1.10 ( skv_16, skv_15, skv_5 ) 0.90/1.10 ( skv_16, skv_16, skv_5 ) 0.90/1.10 ( skv_17, skv_8, skv_8 ) 0.90/1.10 ( skv_17, skv_17, skv_17 ) 0.90/1.10 ( skv_17, skv_18, skv_5 ) 0.90/1.10 ( skv_17, skv_18, skv_6 ) 0.90/1.10 ( skv_17, skv_18, skv_7 ) 0.90/1.10 ( skv_17, skv_18, skv_8 ) 0.90/1.10 ( skv_17, skv_18, skv_15 ) 0.90/1.10 ( skv_17, skv_18, skv_16 ) 0.90/1.10 ( skv_17, skv_18, skv_20 ) 0.90/1.10 ( skv_17, skv_20, skv_5 ) 0.90/1.10 ( skv_18, skv_17, skv_17 ) 0.90/1.10 ( skv_18, skv_18, skv_21 ) 0.90/1.10 ( skv_18, skv_21, skv_5 ) 0.90/1.10 ( skv_19, skv_5, skv_16 ) 0.90/1.10 ( skv_19, skv_9, skv_20 ) 0.90/1.10 ( skv_19, skv_16, skv_20 ) 0.90/1.10 ( skv_19, skv_17, skv_20 ) 0.90/1.10 ( skv_19, skv_18, skv_21 ) 0.90/1.10 ( skv_19, skv_19, skv_19 ) 0.90/1.10 ( skv_19, skv_20, skv_7 ) 0.90/1.10 ( skv_20, skv_5, skv_21 ) 0.90/1.10 ( skv_20, skv_7, skv_8 ) 0.90/1.10 ( skv_20, skv_8, skv_21 ) 0.90/1.10 ( skv_20, skv_15, skv_21 ) 0.90/1.10 ( skv_20, skv_16, skv_19 ) 0.90/1.10 ( skv_20, skv_18, skv_21 ) 0.90/1.10 ( skv_20, skv_19, skv_19 ) 0.90/1.10 ( skv_21, skv_6, skv_6 ) 0.90/1.10 ( skv_21, skv_9, skv_9 ) 0.90/1.10 ) 0.90/1.10 (instantiation (forall ((Xx1 a) (Xy1 a) (Xz0 a)) (let ((_let_0 (ho_1 skv_10 Xx1))) (or (not (ho_2 (ho_1 skv_10 Xy1) Xz0)) (not (ho_2 _let_0 Xy1)) (ho_2 _let_0 Xz0))) ) 0.90/1.10 ( skv_7, skv_7, skv_24 ) 0.90/1.10 ( skv_7, skv_22, skv_16 ) 0.90/1.10 ( skv_7, skv_23, skv_24 ) 0.90/1.10 ( skv_8, skv_7, skv_8 ) 0.90/1.10 ( skv_8, skv_15, skv_16 ) 0.90/1.10 ( skv_8, skv_17, skv_18 ) 0.90/1.10 ( skv_15, skv_8, skv_9 ) 0.90/1.10 ( skv_15, skv_22, skv_9 ) 0.90/1.10 ( skv_15, skv_23, skv_9 ) 0.90/1.10 ( skv_17, skv_8, skv_9 ) 0.90/1.10 ( skv_17, skv_22, skv_24 ) 0.90/1.10 ( skv_22, skv_7, skv_9 ) 0.90/1.10 ( skv_22, skv_15, skv_16 ) 0.90/1.10 ( skv_22, skv_17, skv_9 ) 0.90/1.10 ( skv_23, skv_7, skv_9 ) 0.90/1.10 ( skv_23, skv_15, skv_16 ) 0.90/1.10 ( skv_23, skv_17, skv_18 ) 0.90/1.10 ) 0.90/1.10 (instantiation (forall ((Xx1 a) (Xy1 a)) (or (not (ho_2 (ho_1 skv_4 Xx1) Xy1)) (ho_2 (ho_1 skv_13 Xx1) Xy1)) ) 0.90/1.10 ( skv_32, skv_33 ) 0.90/1.10 ( skv_33, skv_34 ) 0.90/1.10 ) 0.90/1.10 (instantiation (forall ((Xx0 a) (Xy0 a)) (or (and (not (ho_2 (ho_1 skv_4 Xx0) Xy0)) (not (ho_2 (ho_1 skv_3 Xx0) Xy0))) (ho_2 (ho_1 skv_27 Xx0) Xy0)) ) 0.90/1.10 ( skv_15, skv_16 ) 0.90/1.10 ( skv_17, skv_18 ) 0.90/1.10 ( skv_29, skv_30 ) 0.90/1.10 ( skv_29, skv_31 ) 0.90/1.10 ( skv_30, skv_31 ) 0.90/1.10 ( skv_32, skv_33 ) 0.90/1.10 ( skv_32, skv_34 ) 0.90/1.10 ( skv_33, skv_34 ) 0.90/1.10 ) 0.90/1.10 (instantiation (forall ((Xx1 a) (Xy1 a)) (or (not (ho_2 (ho_1 skv_4 Xx1) Xy1)) (ho_2 (ho_1 skv_28 Xx1) Xy1)) ) 0.90/1.10 ( skv_15, skv_16 ) 0.90/1.10 ( skv_32, skv_33 ) 0.90/1.10 ( skv_33, skv_34 ) 0.90/1.10 ) 0.90/1.10 % SZS output end Proof for theBenchmark 0.90/1.11 EOF